Parallel multicanonical study of the three-dimensional Blume-Capel model

Abstract

We study the thermodynamic properties of the three-dimensional Blume-Capel model on the simple cubic lattice by means of computer simulations. In particular, we implement a parallelized variant of the multicanonical approach and perform simulations by keeping a constant temperature and crossing the phase boundary along the crystal-field axis. We obtain numerical data for several temperatures in both the first- and second-order regime of the model. Finite-size scaling analyses provide us with transition points and the dimensional scaling behavior in the numerically demanding first-order regime, as well as a clear verification of the expected Ising universality in the respective second-order regime. Finally, we discuss the scaling behavior in the vicinity of the tricritical point.

9 pages, 9 figures, version to be published in Phys Rev E

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Cited by in corpus (25)

• First-order phase transition and tricritical scaling behavior of the Blume-Capel model: a Wang-Landau sampling approach
• Scaling and universality in the phase diagram of the 2D Blume-Capel model
• The Blume-Capel model for spins S=1 and 3/2 in dimensions d=2 and 3
• Critical behavior in the presence of an order-parameter pinning field
• Universality from disorder in the random-bond Blume-Capel model
• Massively parallel multicanonical simulations
• Exploring different regimes in finite-size scaling of the droplet condensation-evaporation transition
• First-order transitions and thermodynamic properties in the 2D Blume-Capel model: the transfer-matrix method revisited
• Spin dependence of the tricritical point in the mixed-spin Blume-Capel model on three-dimensional lattices: Metropolis and Wang-Landau sampling approaches
• Absence of first order transition in the random crystal field Blume-Capel model on a fully connected graph
• Tricriticality and finite-size scaling in the triangular Blume-Capel ferromagnet
• Critical and tricritical behavior of the $d=3$ Blume-Capel model: Results from small-scale Monte Carlo simulations
• An entropic simulational study of the spin-$1$ Baxter-Wu model in a crystal field
• Thermodynamical behavior of the Blume-Capel model in the vicinity of its tricritical point
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• Transfer-matrix approach to the Blume-Capel model on the triangular lattice
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• The Droplet Formation-Dissolution Transition in Different Ensembles: Finite-Size Scaling from Two Perspectives
• Universality in the two-dimensional dilute Baxter-Wu model